Greatest Common Factor of 4314 and 4322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4314, 4322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4314 and 4322 is 2.

GCF(4314,4322) = 2

GCF of 4314 and 4322

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4314 and 4322

GCF of 4314 and 4322 is 2

Prime Factorization of 4314


2 4314
3 2157
719 719
1

Prime factors of 4314 are 2,3,719. Prime factorization of 4314 in exponential form is:

4314 = 21×31×7191

Prime Factorization of 4322


2 4322
2161 2161
1

Prime factors of 4322 are 2,2161. Prime factorization of 4322 in exponential form is:

4322 = 21×21611

∴ So by taking common prime factors GCF of 4314 and 4322 is 2

Greatest Common Factor of 4314 and 4322 by matching factors method

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Factors of 4322

List of positive integer factors of 4322 that divides 4322 without a remainder.

1,2,2161,4322

Greatest Common Factor

We found the factors and prime factorization of 4314 and 4322. The biggest common factor number is the GCF number.
So the greatest common factor 4314 and 4322 is 2.

Also check out the Least Common Multiple of 4314 and 4322

Properties of GCF 4314 and 4322

(i) The GCF of 4314 and 4322 is associative

GCF of 4314 and 4322 = GCF of 4322 and 4314

Related Greatest Common Factor of 4314

Related Greatest Common Factor of 4322

Frequently Asked Questions on GCF of 4314 and 4322

1. What is the GCF of 4314 and 4322?

Answer: GCF of 4314 and 4322 is 2.

2. What are the Factors of 4314?

Answer: Factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314. There are 8 integers that are factors of 4314. The greatest factor of 4314 is 4314.

3. What are the Factors of 4322?

Answer: Factors of 4322 are 1, 2, 2161, 4322. There are 4 integers that are factors of 4322. The greatest factor of 4322 is 4322.

4. How to Find the GCF of 4314 and 4322?

Answer:

Greatest Common Factor of 4314 and 4322 = 2

Step 1: Find the prime factorization of 4314

4314 = 2 x 3 x 719

Step 2: Find the prime factorization of 4322

4322 = 2 x 2161

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4314 and 4322 is 2